Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.312" was replaced by "(1312/1000)".

Step  1  :

 1.1     10 = 2•5

(10)²⁴ = (2•5)²⁴ = 2²⁴ • 5²⁴

Equation at the end of step  1  :

  1312
  ———— • (224•524)
  1000

Step  2  :

            164
 Simplify   ———
            125

Equation at the end of step  2  :

  164
  ——— • (224•524)
  125

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2²⁴   = 2^{(2 + 24)} = 2²⁶

Dividing exponents :

 3.2    5²⁴   divided by   5³   = 5^{(24 - 3)} = 5²¹

Final result :

  (226•41•521)